Modelling of solids tessellated into topologically interlocked blocks

  • Type:Master Thesis
  • Date:Flexible
  • Supervision:

    Prof. Thomas Böhlke
    Prof. Yuri Estrin
    M.Sc. Claudius Klein

  • Graduand/Requirements:

    Methodological focus in theory and numerics
    Specialisation in mechanics desired
    FEM knowledge is necessary

  • Contact:

    M.Sc. Claudius Klein

  • Topic description:
     

    A promising trend in design and manufacture of novel materials is based on the concept of topological interlocking (TI) [1]. The properties of TI structures are largely governed by the geometry and mutual arrangement of the building blocks from which they are assembled. This approach broadens the materials design space and offers new properties and functionalities. The beneficial features of TI structures include their high fracture resistance, tolerance to local failures, great capacity to absorb impact energy and high sound absorption, as well as ease of assembly and disassembly. This property profile makes TI materials and structures to an attractive alternative to their monolithic counterparts.
     

    Modelling the mechanical response of TI structures is a challenging task, and the focus of the Master Thesis will be an assessment of possible modelling techniques, including finite element modelling, discrete element modelling, and development of homogenised general continua models. Once the choice of the modelling approach is made by the student, numerical simulations of the response of some prototype TI structures to concentrated load and their sound absorption performance will have to be conducted. The outcomes of the simulations should elucidate the benefits of segmentation of a monolithic part into an assembly of topologically interlocked building blocks.
     



    Literature:

    Y. Estrin, V. Krishnamurthy, E. Akleman, Design of architectured materials based on topological and geometrical interlocking, J. Mater. Res. Techn. 15, 1165 (2021)
    https://doi.org/10.1016/j.jmrt.2021.08.064